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Let p, q  R and   200 i 3 1  = 2 199 ( p + iq ) , i = 1  , then p + q + q 2 and p – q + q 2 ar e roots of the equation.

1. x 2 – 4 x + 1 = 0
2. x 2 – 4 x – 1 = 0
3. x 2 + 4 x – 1 = 0
4. x 2 + 4 x + 1 = 0

Correct answer: x 2 – 4 x + 1 = 0

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